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Finding the Third Proportional to 267,891 and 364,815

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Solution

The third proportional to 267,891 and 364,815 is: 496,806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,891 : 364,815 = 364,815 : x
  2. Step 2: Convert to fraction form
    267,891/364,815 = 364,815/x
  3. Step 3: Cross multiply
    267,891x = 364,815 × 364,815
  4. Step 4: Simplify right side
    267,891x = 133,089,984,225
  5. Step 5: Solve for x
    x = 133,089,984,225/267,891
  6. Step 6: Final answer
    x = 496,806.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.